弹性薄板荷载反问题分析

由弹性薄板的Navier解构造出遗传算法中的目标函数,实现对作用在平面薄板上的集中荷载位置识别.通过具体算例,将非线性最小二乘法和遗传算法的结果,分别进行了比较.在多荷载位置的识别过程中,又遇到了目标函数的多极值性问题,非线性最小二乘法很容易陷入局部最优解中,其结果显得不稳定和不可靠;而遗传算法可以稳定和可靠的收敛到精确解,并有一定的抗干扰能力.

Analysis of elastic sheet's load inverse problem

This paper constructs the objective function of genetic arithmetic by using the solution elastic sheet of Navier,and thereby identifies the position of focal load that acts on a plane sheet.The result of non-linear least square method is compared with that of the genetic arithmetical method in the concrete examples.During the course of position identification of multi-focal loads,the objective function multi-extremum problem can be met.Genetic arithmetic owes no sensibility in tangible problem,and it has global search for optimization and the resistance of interfering,the result thus obtained is stable and credible,while non-linear least square method is complex calculation,which can't avoid differential calculation for function and local search for optimization,with the calculating result being acute by the original point's selection which is neither stable nor credible.